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20495811888 = 2433234743889
BaseRepresentation
bin10011000101101001…
…010100010100110000
31221220101111010022000
4103011221110110300
5313433411440023
613225440214000
71323622345416
oct230551242460
957811433260
1020495811888
118768395912
123b8000a300
131c18324656
14dc60ab2b6
157ee558243
hex4c5a54530

20495811888 has 160 divisors (see below), whose sum is σ = 62695987200. Its totient is φ = 6395710464.

The previous prime is 20495811887. The next prime is 20495811907. The reversal of 20495811888 is 88811859402.

20495811888 is a `hidden beast` number, since 2 + 0 + 49 + 581 + 18 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20495811883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445048 + ... + 488936.

It is an arithmetic number, because the mean of its divisors is an integer number (391849920).

Almost surely, 220495811888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20495811888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31347993600).

20495811888 is an abundant number, since it is smaller than the sum of its proper divisors (42200175312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20495811888 is a wasteful number, since it uses less digits than its factorization.

20495811888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43976 (or 43964 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 20495811888 in words is "twenty billion, four hundred ninety-five million, eight hundred eleven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 47 48 54 69 72 92 94 108 138 141 144 184 188 207 216 276 282 368 376 414 423 432 552 564 621 752 828 846 1081 1104 1128 1242 1269 1656 1692 2162 2256 2484 2538 3243 3312 3384 4324 4968 5076 6486 6768 8648 9729 9936 10152 12972 17296 19458 20304 25944 29187 38916 43889 51888 58374 77832 87778 116748 131667 155664 175556 233496 263334 351112 395001 466992 526668 702224 790002 1009447 1053336 1185003 1580004 2018894 2062783 2106672 2370006 3028341 3160008 4037788 4125566 4740012 6056682 6188349 6320016 8075576 8251132 9085023 9480024 12113364 12376698 16151152 16502264 18170046 18565047 18960048 24226728 24753396 27255069 33004528 36340092 37130094 47444009 48453456 49506792 54510138 55695141 72680184 74260188 94888018 99013584 109020276 111390282 142332027 145360368 148520376 189776036 218040552 222780564 284664054 297040752 379552072 426996081 436081104 445561128 569328108 759104144 853992162 891122256 1138656216 1280988243 1707984324 2277312432 2561976486 3415968648 5123952972 6831937296 10247905944 20495811888